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Which equation shows that matrix multiplication is distributive over addition?

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Question

Which equation shows that matrix multiplication is distributive over addition?

Options

  • \[A(B+C) = AB + AC\]

  • \[(A+B)C = AC + B\]

  • \[AB + AC = A + B + C\]

  • \[A(B+C) = AB + C\]

MCQ
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Solution

Matrix multiplication distributes over addition when the matrix orders permit the operations. Thus, multiplying \[A\] by \[B+C\] gives \[AB + AC\].

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